What is the Formula to Determine the Volume of Football?
The volume of a football can be calculated using the formula for the volume of a prolate spheroid:
V = (4/3)π * (a * b^2)
Where:
- V is the volume of the football
- a is the length of the semi-major axis (half the length of the football from end to end)
- b is the length of the semi-minor axis (half the diameter of the football)
How to use the formula:
- Measure the length and diameter of the football.
- Divide the length by 2 to get the semi-major axis (a).
- Divide the diameter by 2 to get the semi-minor axis (b).
- Substitute the values of a and b into the formula.
- Calculate the volume using a calculator.
Example:
If the football is 11 inches long and has a diameter of 7 inches, the volume is:
V = (4/3)π * (5.5 * 3.5^2)
V = (4/3)π * (5.5 * 12.25)
V = 227.95 cubic inches
Related Questions:
- What is the volume of a football with a length of 12 inches and a diameter of 8 inches?
- How can I measure the length and diameter of a football?
- What is the prolate spheroid shape?
- What is the relationship between the volume of a football and its size?
- How does the volume of a football affect its flight characteristics?
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